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Finding the Third Proportional to 107,256 and 157,760

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Solution

The third proportional to 107,256 and 157,760 is: 232,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,256 : 157,760 = 157,760 : x
  2. Step 2: Convert to fraction form
    107,256/157,760 = 157,760/x
  3. Step 3: Cross multiply
    107,256x = 157,760 × 157,760
  4. Step 4: Simplify right side
    107,256x = 24,888,217,600
  5. Step 5: Solve for x
    x = 24,888,217,600/107,256
  6. Step 6: Final answer
    x = 232,044.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.